SOLUTION: Hi, How do you simplify (log(3)8)(log(8)9) I've simplified it so far to (log 8)/(Log 3) = (log 9)/(log 8)

SOLUTION: Hi, How do you simplify (log(3)8)(log(8)9) I've simplified it so far to (log 8)/(Log 3) = (log 9)/(log 8)

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Question 438347: Hi,
How do you simplify (log(3)8)(log(8)9)
I've simplified it so far to (log 8)/(Log 3) = (log 9)/(log 8)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

then, applying "change of base" we get:

notice the log(8) cancels leaving:

or simply:

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